Question

how about this question given that y=2x+4/x-2 and dy/dx=k/(x-2)^2.find the value of k

Answer 1

my typing sucks. let me try again
\[f'(x)=5(3x+1)^4\times 3=15(3x+1)^4\] by the chain rule
\[f'(-1)=15(-3+1)^4\] whatever that is

Answer 2

like this the answer?

Answer 3

Well, what's 15(-3+1)^4 ?

Answer 4

it looks like the function being differentiated is a rational function (the quotient of two polynomials). If the function is actually (2x+4)/(x-2), then you would differentiate the rational function using the quotient rule. Direct comparison would then lead to a value for k.